Question

Pleaseeee solve this math for me I reallyyyy neeed help

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given that z² is directly proportional to w then the equation relating them is

z² = kw ← k is the constant of proportion

To find k use the condition z = 4 when w = 8, thus

4² = 8k

16 = 8k ( divide both sides by 8 )

2 = k

(i)

z² = 2w ← equation of proportion

(ii)

When w = 18, then

z² = 2 × 18 = 36 ( take the square root of both sides )

z = $\sqrt{36}$ = 6

(iii)

When z = 5 , then

5² = 2w

25 = 2w ( divide both sides by 2 )

w = 12.5